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AP Statistics - Chapter 4 Flashcards

Sampling and Surveys

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7214868045BiasThe design of a statistical study shows bias if it would consistently underestimate or consistently overestimate the value you want to know.0
7214868046CensusA study that attempts to collect data from every individual in the population.1
7214868047Cluster sampleTo take a cluster sample, first divide the population into smaller groups. Ideally, these clusters should mirror the characteristics of the population. Then choose an SRS of the clusters. All individuals in the chosen clusters are included in the sample.2
7214868048Convenience sampleA sample selected by taking the members of the population that are easiest to reach; particularly prone to large bias.3
7214868049Double-blindAn experiment in which neither the subjects nor those who interact with them and measure the response variable know which treatment a subject received.4
7214868050Margin of errorA numerical estimate of how far the sample result is likely to be from the truth about the population due to sampling variability.5
7214868051NonresponseOccurs when a selected individual cannot be contacted or refuses to cooperate; an example of a nonsampling error.6
7214868052Nonsampling errorThe most serious errors in most careful surveys are nonsampling errors. These have nothing to do with choosing a sample—they are present even in a census. Some common examples of nonsampling errors are nonresponse, response bias, and errors due to question wording.7
7214868053PopulationIn a statistical study, the population is the entire group of individuals about which we want information.8
7214868054Random samplingThe use of chance to select a sample; is the central principle of statistical sampling.9
7214868055Response biasA systemic pattern of incorrect responses.10
7214868056SampleThe part of the population from which we actually collect information. We use information from a sample to draw conclusions about the entire population.11
7214868058Sample surveyA study that uses an organized plan to choose a sample that represents some specific population. We base conclusions about the population on data from the sample. You must 1) say exactly what population you want to describe and 2) say exactly what you want to measure - give exact definitions of the variables.12
7214868059Sampling frameThe list from which a sample is actually chosen.13
7214868060Simple random sample (SRS)The basic random sampling method. An SRS gives every possible sample of a given size the same chance to be chosen. We often choose an SRS by labeling the members of the population and using random digits to select the sample. Common ways to choose an SRS included drawing names out of a hat, technology random number generators or using tables of random digits. You should be able to describe in great detail how to choose an SRS using those methods.14
7214868061StrataGroups of individuals in a population that are similar in some way that might affect their responses.15
7214868062Stratified random sampleTo select a stratified random sample, first classify the population into groups of similar individuals, called strata. Then choose a separate SRS from each stratum to form the full sample.16
7214868063Table of random digitsA long string of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 with these properties: • Each entry in the table is equally likely to be any of the 10 digits 0 through 9. • The entries are independent of each other. That is, knowledge of one part of the table gives no information about any other part.17
7214868064UndercoverageOccurs when some members of the population are left out of the sampling frame; a type of sampling error.18
7214868065Voluntary response samplesPeople decide whether to join a sample based on an open invitation; particularly prone to large bias.19
7214868066Wording of questionsThe most important influence on the answers given to a survey. Confusing or leading questions can introduce strong bias, and changes in wording can greatly change a survey's outcome. Even the order in which questions are asked matters.20
7214868067BlockA group of experimental units that are known before the experiment to be similar in some way that is expected to affect the response to the treatments.21
7214868068Completely randomized designWhen the treatments are assigned to all the experimental units completely by chance.22
7214868069ConfoundingWhen two variables are associated in such a way that their effects on a response variable cannot be distinguished from each other.23
7214868071Control groupAn experimental group whose primary purpose is to provide a baseline for comparing the effects of the other treatments. Depending on the purpose of the experiment, a control group may be given a placebo or an active treatment.24
7214868072Double-blindAn experiment in which neither the subjects nor those who interact with them and measure the response variable know which treatment a subject received.25
7214868073ExperimentDeliberately imposes some treatment on individuals to measure their responses.26
7214868074Experimental unitsThe smallest collection of individuals to which treatments are applied.27
7214868075Explanatory variableA variable that helps explain or influences changes in a response variable. Also called factors.28
7214868077LevelA specific value of an explanatory variable (factor) in an experiment. For example, if we were studying effects of advertising an explanatory variable might be lengths of commercials and we could have commercials of varying lengths. 30, 45 and 60 minute commercials would make 3 levels of that one explanatory variable.29
7214868079Matched pairA common form of blocking for comparing just two treatments. In some matched pairs designs, each subject receives both treatments in a random order. In others, the subjects are matched in pairs as closely as possible, and each subject in a pair is randomly assigned to receive one of the treatments.30
7214868080Observational studyObserves individuals and measures variables of interest but does not attempt to influence the responses.31
7214868081PlaceboAn inactive (fake) treatment.32
7214868082Placebo effectDescribes the fact that some subjects respond favorably to any treatment, even an inactive one (placebo).33
7214868083Random assignmentAn important experimental design principle. Use some chance process to assign experimental units to treatments. This helps create roughly equivalent groups of experimental units at the start of the experiment.34
7214868084Randomized block designStart by forming blocks consisting of individuals that are similar in some way that is important to the response. Random assignment of treatments is then carried out separately within each block.35
7214868085ReplicationAn important experimental design principle. Use enough experimental units in each group so that any differences in the effects of the treatments can be distinguished from chance differences between the groups.36
7214868086Response variableA variable that measures an outcome of a study.37
7214868087Single-blindAn experiment in which either the subjects or those who interact with them and measure the response variable, but not both, know which treatment a subject received.38
7214868088Statistically significantAn observed effect so large that it would rarely occur by chance.39
7214868089SubjectsExperimental units that are human beings.40
7214868090TreatmentA specific condition applied to the individuals in an experiment. If an experiment has several explanatory variables, a treatment is a combination of specific values of these variables.41
7214868092Inference about cause and effectUsing the results of an experiment to conclude that the treatments caused the difference in responses. Requires a well-designed experiment in which the treatments are randomly assigned to the experimental units.42
7214868093Inference about the populationUsing information from a sample to draw conclusions about the larger population. Requires that the individuals taking part in a study be randomly selected from the population of interest.43
7214868096Lack of realismWhen the treatments, the subjects, or the environment of an experiment are not realistic. Lack of realism can limit researchers' ability to apply the conclusions of an experiment to the settings of greatest interest.44
7214903179Basic Principle for Designing Experiments1. Comparison - Use a design that compares two or more treatments. 2. Random Assignment - Use chance to assign experimental units. Create roughly equivalent groups of experimental units at the start of the experiment to balance the effects of other variables among the treatment groups. 3. Control - Keep other variables that might affect the response the same for all groups. (This is not the same as control group.) 4. Replication - Use enough experimental units in each group so the differences can be distinguished from chance.45
7214913281Criteria for establishing causation when we can't do an experiment.1. The association is strong. 2. The association is consistent. 3. Larger values of the explanatory variable are associated with stronger responses. 4. The alleged cause precedes the effect in time. 5. The alleged cause is plausible.46
7214924512Scope of Inference1. Inferences about populations are possible when individuals are randomly selected. 2. Inferences about cause and effect are possible when individuals are randomly assigned to groups.47

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